3t-4=5t+6

Solution for 3t-4=5t+6 equation:

Simplifying
3t + -4 = 5t + 6

Reorder the terms:
-4 + 3t = 5t + 6

Reorder the terms:
-4 + 3t = 6 + 5t

Solving
-4 + 3t = 6 + 5t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-5t' to each side of the equation.
-4 + 3t + -5t = 6 + 5t + -5t

Combine like terms: 3t + -5t = -2t
-4 + -2t = 6 + 5t + -5t

Combine like terms: 5t + -5t = 0
-4 + -2t = 6 + 0
-4 + -2t = 6

Add '4' to each side of the equation.
-4 + 4 + -2t = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -2t = 6 + 4
-2t = 6 + 4

Combine like terms: 6 + 4 = 10
-2t = 10

Divide each side by '-2'.
t = -5

Simplifying
t = -5